Undergraduate Commutative Algebra (London Mathematical Society Student Texts, Series Number 29) - Hardcover

Reid, Miles

Hardcover

ISBN 10: 0521452554 ISBN 13: 9780521452557

Publisher: Cambridge University Press, 1996

Synopsis

In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nullstellensatz and rings of fractions precede sections on primary decomposition and normal integral domains. This book is ideal for anyone seeking a primer on commutative algebra.

About this title

Book Description:

Showing the link between commutative ring theory and algebraic geometry, this book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. It is ideal for anyone seeking a primer on commutative algebra.

Review:

'It gives a fresh picture of the subject for a new generation of students.' P. Scnezel, Zentralblatt fur Mathematik

'The author takes care to explain the geometric and number theoretic meaning of the algebraic methods and results presented. This makes the book perhaps more demanding, but surely much more interesting than the standard ones.' European Mathematical Society Newsletter

'Besides the usual topics ... there are some welcome geometrical illustrations, as well as some homespun philosophy.' Mathematica

About this edition

• Publisher: Cambridge University Press
• Publication date: 1996
• ISBN 10: 0521452554
• ISBN 13: 9780521452557
• Binding: Hardcover
• Number of pages: 168